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Finding the Fourth Proportional to 324.55, 484.46 and 285.63

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Solution

The fourth proportional to 324.55, 484.46 and 285.63 is: 426.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.55 : 484.46 = 285.63 : x
  2. Step 2: Convert to fraction form
    324.55/484.46 = 285.63/x
  3. Step 3: Cross multiply
    324.55x = 484.46 × 285.63
  4. Step 4: Simplify right side
    324.55x = 138,374.14
  5. Step 5: Solve for x
    x = 138,374.14/324.55
  6. Step 6: Final answer
    x = 426.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.